Use the substitution method to solve the following pairs of simultaneous
equations.
a. x = 8-3y, 2x + 5y = 13,
Answer: x= , y=

Answers

Answer 1

Answer:

Step-by-step explanation:

2x+5y = 13

2(8-3y)+5y =13

16-6y+5y = 13

y=3

x =8-3y = -1


Related Questions

Problem: A pole is being held up with a 10 meter rope. The cable is making a 42° of elevation from the ground to
the top of the pole. What is the distance from the base of the pole to the base of the rope ? Round your answer
to the nearest tenth of a meter.

Answers

Answer:

x = 7.4

Step-by-step explanation:

cos(42°) = x/10 or distance from bases / rope length

Using the calculator find the value of cos(42°):

cos(42°) = 0.74 = x/10

Find x using the value of cos(42°):

x/10 = 0.74

x = 7.4

what is the domain of the function a^x

Answers

Answer:

The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

Step-by-step explanation:

Answer:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

Step-by-step explanation:

Identify the input values.

Since there is an even root, exclude any real numbers that result in a negative number in the radicand. ...

The solution(s) are the domain of the function.

3n - 2 + 5n, when n = 4

Answers

Answer:

30

Step-by-step explanation:

3n-2+5n=8n-2

8(4)-2=32-2=30

Answer:

12 - 2 = 10 + 20 = 30

Already simplified it.

Find the value of x
O A.3
O B. 11
O c. 7
OD. 5

Answers

Answer:

Step-by-step explanation:

7x+13 = 48

7x = 35

x = 5

Answer:

D. 5

Step-by-step explanation:

The angle should equal 48 degrees as it is congruent to the other angle labeled as 48 degrees.

So, we get the equation 7x + 13 = 48

Subtract 13 from both sides.

7x + 13 - 13 = 7x

48 - 13 = 35

We get 7x = 35

Divide by 7 on both sides.

7x / 7 = x

35 / 7 = 5

We get x = 5.

What is the measure of the missing angle in this triangle?

35°

60°

155°

25°

Answers

Answer:

25 is the answer.

Step-by-step explanation:

Hope this helps!!

When you have an x value of zero in a point like this one (0,8) where is the point located on the graph? When you have a y value of zero in a point like this ( -3,0) where is the point located on the graph?


plz explain

Answers

Answer:

well I don't have a picture to explain it but (0,8) would be on the y axis and 8 on the x-axis ( it would go up 8 times and stay on the same line)

it would be -3 on the y axis and it wouldn't move up or down (move 3 points to the left)

Step-by-step explanation:

(x,y) when the x is 0 it doesn't move on the x-axis (left or right) and when it is 0 it doesn't move on the y-axis (up or down)

hope that makes sense!

FIND M∠R (GIVING BRAINLIEST, 25 PTS)

Answers

Answer:

76

Step-by-step explanation:

to understand thisyou need to know about:trianglesequationPEMDASgiven:[tex]M\angle T=2x+2[/tex][tex]M\angle R=3x+1[/tex]tips and formulas:this is an isosceles triangle since two sides are equal therefore [tex]\angle T=\angle S[/tex]a triangle contains 180°let's solve:

according to the question

2x+2+2x+2+3x+1=180

solve:

collect like terms:7x+5=180substract 5 from both sides:=>7x+5-5=180-5=>7x=175divide both sides by 7: =>7x/7=175/7x=25

given:

M∠R=3x+1

substitute the value of x

3×25+1

75+1

76

Answer:

M∠R=76°

Step-by-step explanation:

First, I realized that ∠S was equal to ∠T, meaning ∠S=2x+2. I then added all 3 angles together and set them equal to 180, seeing the angles of a triangle must add up to 180 (2x+2+2x+2+3x+1=7x+5=180)

After that, I subtracted 5 from 180 and then divided by 7 to get x=25. I then solved the equation 3x+1 by plugging 25 in for x and ended up with 76 as my final answer.

At a holiday camp, the ratio of boys to girls is
3
:
4
and the ratio of girls to adults is
5
:
7
. What is the ratio of children to adults at the camp?

Input note: give the ratio in its simplest form.

Answers

Answer:

5:4

Step-by-step explanation:

Step-by-step explanation:

boys : girls : adults

3 : 4 :

5 : 7

15 : 20 : 28

children : adults

15 + 20 : 28

35 : 28

5 : 4

<1 and 23 can best be described as -

Answers

Vertical angles, hope this helps!

can you please give me the real answer -42 = n/7 will give u 5 star rating

Answers

Step-by-step explanation:

Sent from my Huawei to the one who makes me so happy in my life thx for everything happy 6 months together baby and I love you so much ik I am so glad you are the one to thank for your life and your

The answer is :

n = - 343

the perimeter of a rectangle is 30 cm. The height is 5 cm . what is the area of that rectangle.​

Answers

Answer:

Pretty sure its 50

Step-by-step explanation:

if the height is 5, that would be multiplied by 2 because there are two identical sides. From the product, 10, you would need to get to 30, so you add 20. that means the other two identical sides are 10cm. 10x5 (length x width) is equal to 50.

Answer:

[tex]30 = 2 \times l + 2 \times b \\ 30 = 2 \times 5 + 2 \times b \\ 30 = 10 + 2b \\ 30 - 10 = 2b \\ 20 = 2b \\ = 20 \div 2 = 10 \\ area = l \times b \\ 5 \times 10 = 50cm {}^{2} [/tex]

Help sir! Thank you, Mr Thompson

Answers

Problem 1

To find the y intercept, plug in x = 0 and simplify

f(x) = (x-2)(x+4)

f(0) = (0-2)(0+4)

f(0) = (-2)*(4)

f(0) = -8

We have x = 0 pair up with y = -8

The y intercept is (0,-8)

Answer: Choice D

========================================

Problem 2

(x-2)(x+4) is the same as x^2+2x-8 after using the FOIL rule. The distributive property is an alternate option.

The leading coefficient of x^2+2x-8 is 1. Since this leading coefficient is positive, it tells us that the parabola opens upward.

Answer: C) Parabola opens upward

========================================

Problem 3

Answers:

A = h(x)B = f(x)C = g(x)

Explanation:

Note that 1-x^2 is the same as -x^2+1 and this has a negative leading coefficient. So the parabola opens downward. That must mean curve C matches with function g(x).

Both f(x) and h(x) have the same leading term of x^2. However, the constant terms are different. Because f(x) has a smaller constant (-4 is smaller than 4) this makes curve B to be f(x), while curve A is h(x). The larger the constant is, the further shifted up the curve will be.

14 deliveries in 7 hours =
deliveries per hour?

Answers

Answer:

2

Step-by-step explanation:

14/7=2

Answer: 2 deliveries per hour.

Explanation: 14 ÷ 7 is 2. You can also check it by doing 2 x 7 to equal the 14 deliveries in 7 hours.


Green Leaf Lawn Care had 64 customers under contract at the start of the year. The company's owner expects his new radio advertisements will attract 2 new customers every week.
the radio commercials produce new customers exactly as the owner expects, which of these equations represents the number of customers ( Green Leaf Lawn Care will have after w weeks

Answers

Answer:

C. c = 64 + 2w

Step-by-step explanation:

You're starting with 64 customers and you're gaining 2 for each week.

good luck, i hope this helps :)

determine whether each statement is true or false. QR > ST
m m m

Answers

Answer:

FALSE

Step-by-step explanation:

QR is NOT greater than ST

The image shows that QR = 9 and ST = 10.

Ten's obvi the bigger number so insted of QR > ST it should be QR < ST.

hope this helps :)

What is the answers the question (a - b)^2

Answers

Answer:

(a-b)²

a²+b²- 2×a×b

a²+b² - 2ab

Can someone please give me a simple explanation on exponential functions? I need to write a one page essay over what it is

Answers

Answer:

The exponential function is one of the most important functions in mathematics (though it would have to admit that the linear function ranks even higher in importance). To form an exponential function, we let the independent variable be the exponent. A simple example is the function

Step-by-step explanation:

2.
When solving an equation that uses division, such as n/8 = 7, what inverse
operation should you use to solve for n?
a) Addition
b) Subtraction
c) Multiplication
d) Division

Answers

wlgptmdgns33wlgptmdgns33
The answer is Multiplication

find the length of the third side of the right triangle!!!!

Answers

Answer:

8

Step-by-step explanation:

There are two ways to solve this!

1. Use the Pythagorean Theorem

a^2 + b^2 = c^2

6^2 + b^2 = 10^2

100 - 36 = b^2

64 = b^2

8 = b

2. Shortcut using 3-4-5 triangles

A 3-4-5 triangle has to do with the ratios of each side.

In this case, it's 6-8-10, as each number is multiplied by two with the same 3-4-5 ratio. This is a good shortcut for these types of problems and will be handy on tests like the SAT as well! :)

(05.05)On the coordinate plane below, what is the length of AB?







O 8 units
9 units
13 units
14 units

Answers

The answer to this would be 14 units hope it helps :)

What number represents the same amount of 2 hundreds, 14 tens, and 3 ones.

Answers

Answer:

i think the answer would be 343?

Step-by-step explanation:

Write a fraction in which the numerator and denominator are both greater than 9. Then write the fraction in simplest

form

C2

WRITER

I

Answers

Answer:

10/15

simplest form:2/3

Step-by-step explanation:

Giving BRAINLIEST for whosoever answers first.

Answers

Answer:

hiiii

Step-by-step explanation:

im not sure

Answer:

5+X=m hope this helps!

Step-by-step explanation:

12. Three friends went to an ice cream parlor for ice cream. They each paid $3.51 for their ice
cream, including an 8% sales tax.
What was the total cost of all three bowls of ice cream before tax was added?
$

Answers

Answer:

total cost - $3.23 per icecream cone no tax // cost is $9.69 all 3 ice cream cones no tax // solve by multiplying .08 by $3.51. you get .28 // subtract that from $3.51 to solve

write a equation for the following phrase 3 times a number plus 6 equal 9?

Answers

Answer:

3n + 6 =9

I hope im right!!

3n+6=9 is the answer of your work

What is the sqrt of i 25

Answers

Answer:

5

Step-by-step explanation:

- ohcogcogdgsogxicrkrxlgx

At the World Cup, 25% of the teams are from South American countries. If there are 40 teams in the World Cup, how many are from South American countries? Construct a double number line if needed.

Answers

Answer:

10

Step-by-step explanation:

100% = 40 teams

1% = 40 ÷ 100 = 0.40

25% = 0.40 x 25 = 10

Answer:

10

Step-by-step explanation:

100%/4=25%

40/4=10

You have to divide 100% by 4 because 25 goes into 100 four times.

What ever you do on the bottom or top you to do it top or bottom.

So 40 divide by 4 is 10.

Then you have you answer.

help me pls and thank you​

Answers

Answer:

B

Step-by-step explanation:

2.25-2.25 is zero, the others have nothing to do with zero. A is a "distractor", but it ends up being 20.

Can someone help? Ill do brainliest, Im trying to get my grades up- <33

Answers

Answer: The length of the hypotenuse (c) is 5

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

a & b are the legs (b is the base)

c = hypotenuse

a = 4

b = 3

a² + b² = c²

4² + 3² = c²

16 + 9 = c²

25 = c²

√c² = √25

c = 5

a^2 + b^2 =C^2
3^2 +4^2= c^2
9+16=25^2

3x-4y=16 slope and intercept form

Answers

Answer:

y=3/4x-4

Step-by-step explanation:

The form is y=mx+b so isolate y

-4y=16-3x

y=-16/4-3x/-4

y=3/4x-4

Answer:

y = 3/4x - 4

Step-by-step explanation:

Slope intercept form: y = mx + b

3x - 4y= 16

-4y = 16 - 3x

4y = -16 + 3x

y = -4 + 3/4x

y = 3/4x - 4

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